Answer:
The independent variable is T (time)
Step-by-step explanation:
Answer:
<em>The coordinates of L are (4,5)</em>
Step-by-step explanation:
<u>Partition</u>
Given the points M(-2,-3) R(7,9), we must find a point L(x,y) such that the distance from M to L is double the distance from L to R. This means:
We'll apply that relation on both axes separately:
Operating:
Joining like terms:
Solving:
Now for the y-axis:
Operating
Joining like terms:
Solving
Thus the coordinates of L are (4,5)
Answer:
13/200
Step-by-step explanation:
<em>so we grab the fraction:</em>
6 1/2%
<em>make it a decimal instead of a fraction</em>
6.5%
<em>divide it by 100 to get</em>
6.5/100
<em>and multiply it by 2 because decimals have no place inside fractions lol</em>
13/200
(2x+3y)⁴
1) let 2x = a and 3y = b
(a+b)⁴ = a⁴ + a³b + a²b² + ab³ + b⁴
Now let's find the coefficient of each factor using Pascal Triangle
0 | 1
1 | 1 1
2 | 1 2 1
3 | 1 3 3 1
4 | 1 4 6 4 1
0,1,2,3,4,.. represent the exponents of binomials
Since our binomial has a 4th exponents, the coefficients are respectively:
(1)a⁴ + (4)a³b + (6)a²b² + (4)ab³ + (1)b⁴
Now replace a and b by their real values in (1):
2⁴x⁴ +(4)8x³(3y) + (6)(2²x²)(3²y²) + (4)(2x)(3³y³) + (1)(3⁴)(y⁴)
16x⁴ + 96x³y + 216x²y² + 216xy³ + 81y⁴
